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Published on: May 30, 2014
Semiclassical mechanism for the quantum decay in open chaotic systems
Daniel Waltner1, Martha Gutiérrez, Arseni Goussev
1Institut für Theoretische Physik, Universität Regensburg, Regensburg, Germany.
Physical Review Letters
|November 13, 2008
Summary
We reveal how interfering classical trajectories explain decay in chaotic quantum systems, confirming random matrix theory and revealing Ehrenfest time effects. These findings offer new insights into quantum decay and related phenomena.
Area of Science:
- Quantum mechanics
- Chaos theory
- Statistical physics
Background:
- Open chaotic quantum systems exhibit exponential decay.
- Semiclassical approximations are crucial for understanding quantum dynamics.
Purpose of the Study:
- To calculate semiclassical corrections to classical exponential decay in open chaotic quantum systems.
- To investigate Ehrenfest time effects beyond random matrix predictions.
- To identify the role of interfering classical trajectories in quantum decay.
Main Methods:
- Semiclassical calculations
- Numerical simulations
- Analysis of interfering classical trajectories
Main Results:
- Semiclassical corrections to classical exponential decay were calculated.
- Random matrix predictions were confirmed.
- Ehrenfest time effects were computed.
- The importance of specific interfering, correlated classical trajectories was demonstrated.
- Cross-section correlations for photoionization and photodissociation were computed.
- A semiclassical version of the continuity equation was established.
Conclusions:
- Interfering classical trajectories are vital for understanding quantum decay.
- These trajectories provide a dynamical mechanism for phenomena like photoionization and photodissociation.
- The study establishes a semiclassical framework for quantum decay.
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